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AP EAMCET202124 Aug 2021Morning ShiftMathematicsLimitsActual

If _ n 1-(10)^n 1+(10)^ n+1 = - 10 , then is equal to

Options

  1. A0
  2. B-1
  3. C1
  4. D2

Correct answer

C. 1

Step-by-step solution

aligned & _ n 1-10^n 1+10^ n+1 =- 10 & _ n 1-10^n 1+10 10^n =- 10 & _ n 10^n [ 1 10^n -1 ] 10^n [ 1 10^n +10 ] =- 10 aligned aligned & n , 10^n , 1 10^n 0 & 0-1 0+10 = - 10 -1 10 =- 10 & =1 aligned

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